[ET(end tyranny)]

According to the Catholic Encyclopedia article on St. James the Less, the appellation "James the Just" comes from Hegesippus, quoted in Eusebius, History, book II. Eusebius doesn't use the appellation "James the Less"; he calls "James the Just" the "brother of the Lord" and "bishop of Jerusalem".

Correct, which is why I asked if there were any supporting evidence that James the Less and James the Just are one in the same. Looks like there isn't, thus far.

He only mentions two men named James (the other is James the Greater, son of Zebedee). Eusebius (but not Hegesippus) identifies James the Just as a "son of Joseph,"

I believe erroneously.

That may be, but then again Eusebius may be right.

[Campion]

which is why I asked if there were any supporting evidence that James the Less and James the Just are one in the same

Then, in your view, the "real" James the Less simply disappeared at some point after the last reference to him in the Bible ... unknown to Eusebius, unknown to history, unknown to Christian tradition ... vanished?

I repeat: Eusebius knows about two early church leaders named "James". Only two.